Tell me a story about submarines (or, even better, hot air balloons) that you could use to meaningfully model the expression 3 − (−1).

Q: Find the Fourier series representing f (x) = x, 0<x<2n and sketch its graph from x = -4π to x 4 T.

A: find fourier  series

Q: Find the Fourier series expansion of the periodic function of period 2 t f (x) = x, -n<x<n 1 Hence,…

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Q: What is true about the linear system in the direction field below? 3 0. -2 -3 -3 -2 -1 0 1 2 3 | The…

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Q: 2. At the beginning of 2020, a manufacturer's warehouse contained 1,100 tons of product. The…

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Q: Problem 4: Use Green's function to solve: y" - 4y'+ 3y e, y(0) = 1, y'(0) = 1.

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Q: a) Define a Dirichlet function. b) Assume that f(r) is a function of the form -x-1; when -<r50 f(r)…

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Q: 2s2+1 Find the inverse transform: F(s) = s(s+1)? A. 3 - e-t – te-t C. 1-e-t + 3te-t B. 3 + e-t +…

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Q: Find |lu||. ||v ||, and ||u + v |. u = (2, 0, -2, -1), v = (3, 1, 0, 1) (a) ||u|| (b) ||비 (c) |lu +…

A: Norm of the vectors

Q: Consider a falling object of mass 5 kg that experiences the drag force, which is assumed to be v =…

A: We will solve the differential equation to get velocity at time t , The for limiting velocity find…

Q: Prove that the simple continued fraction of a real number is unique i.e. if [a0,a1,...] = x =…

A: To Prove: The simple continued fraction representation of a real number is unique, i.e. if…

Q: laplace transform

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Q: A certain chemical decomposes in which its equation satisfy the general exponential equation as…

A: To solve this problem first we use the initial condition and find y0 and then use the another…

Q: Which symmetry does the graph illustrate? O A. x-axis symmetry O B. origin symmetry O C. no symmetry…

A: I just observed the given graph to answer.

Q: a2 (p 26. For the differential equation yt" + 2y" +y = 5 sint +7cost, given the follwoing solution…

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Q: Question 1 : Given that 4 u = 3 and v = Find : 1. Angle between u and v. 2. Projection of v onto u.

A: Given u=43-1and v=1-1-1 Dot Product: Let a=a1a2a3, b=b1b2b3 be two non-zero vectors, and θ be the…

Q: Find the equation of the tangent plane at the point a = xo = 4, y= yo = 1 of the surface z = f(x, y)…

A: Given z = f(x, y) = xyex+y

Q: Find the equation of an exponential function that goes through the following two points (0,8) and…

A: We have to find the equation of an exponential function that goes through the following two points…

Q: Find the radius of convergence of the power series 1 -(++4i)* + 4i)* lim

A: Radius of convergence

Q: Solve the following boundary value problem by using Fourier series: Syl(t) + y( (t) + y"(t) + y"(t)…

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Q: 2. (a) Define a Dirichlet function. (b)Assume that f(x) is a function of the form -х-1; when -T <…

A: Here given function as fx=-x-1when -π&lt;x≤0xwhen  0≤x≤&lt;π

Q: The count in a bacteria culture was 400 after 15 minutes and 1200 after 35 minutes. Assuming the…

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Q: Problem 6 Let A be a square matrix of order 4 such that v = is an eigenvector of A associated to…

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Q: Com idr the Legendre's litterentrial equation n-constant Any saluhion Legendre's function. s Q.1.…

A: Given the Legendre's differential equation                                           1 - x2y'' -…

Q: Show that there must be two distinct subsets A, BC S such that

A: Every value in S is between 0 and 100 , So the sum of any subset will be at least 0 and  at most…

Q: cide whether the following statement makes sense (or ia clearty true) or does not make sense (or in…

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Q: Assume that F is a conservative vector field. (a) What is the definition of a vector field F being…

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Q: Determine whether the series is convergent or divergent. I+ Jinil ordi bil egrovdoo i l 2og1ovib 10…

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Q: In the next three problems, find the Laurent series in sigma notation valid in the given regions. 8)…

A: Given (8) fz=1z for 3&lt;z-3i (9) fz=1z2 for 2i&lt;z+2i

Q: Q8/ Evaluate the integral: 4e* dx dy

A: According to guidelines we solve one question.

Q: In a city with three high schools, all the ninth graders took a Standardized Test, with these…

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Q: Show that the Fourier series of the function g(x) = |r| on the interval |-7, 7| is s(-) -- 1 cos…

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Q: (-1)"n+1 if \피 <1. Given: In(1+x) = %3D n+1 Find the Maclaurin series for ƒ(x) = x In (1 + §).

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Q: Problem 6 Given the series 5.¢.25x + 125 x + 625 x? + a) For which values of x does the series…

A: Series and sequences. And sum of the series

Q: 2) Determine if F is a conservative vector field. If so, find a function f such that F = F = yze"i+…

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Q: 2. Construct a matrix with the required property or explain why such construction is impossible. (a)…

A: As per our guidelines we are supposed to answer only first three subparts of the problem. For the…

Q: Consider the following system of differential equation, with time domain t E (0, 1): r" = = -r' -…

A: The system of differential equations is given as follows: x''=-x'-e-ty'=xyx0=0x'0=0y0=0 We are asked…

Q: 6. You are provided a function s(t) which describes the displacement of a shoe in a tornado. Explain…

A: Given that st describes the displacement of a shoe in a tornado.

Q: Q/ Find an integating factor for the diff- equ. 2y dx + (3y-2x)dy20? to

A: Conversion of non exact differential equation  to Exact  differential equation,

Q: 4. The generating function f(x) for the Fibonacci numbers 1, 1,2,3,5,8, 13,21, ... is given by OA.…

A:

Q: Expand the function 5+6x in a power series E anx" with center c = 0. Find a, x". n=0 (Express…

A: Consider the given function as fx=15+6xorfx=151+6x5⇒fx=151+6x5-1......1

Q: Montserrat has $100,000 to invest in a saving account. She receives a steady interest rate of 3.75%…

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Q: Σ (n+2)! n=0

A: Given series is ∑n=0∞ xn+1(n+2)!

Q: 1. At a tune-up and brake repair shop, the manager has found that a car will require a tune-up with…

A: Introduction: The probability is calculating the chance of happening a particular event if there is…

Q: Comidır the Legendre's litterential equation (1-x²) y" - 2xy nent) y=O ny soluhion Legendre's…

A: We have questions related to legendre'S differential equation.

Q: Suppose you estimate the area under the graph of f(x) = + from x = 15 to x = 115 by adding the areas…

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Q: 5. For the initial value problem y" + 6y' +9y 0; y(0) = 3; y'(0) = -11 find L(y), the Laplace…

A: The given problem is to find the Laplace transform of the function Y from the given initial value…

Q: Find the Laplace Transform of cos(2t) + 7sin(2t) 14 A + s2+4 s2 – 4 s- 14 s2+2 S+ 14 C) s²+4 S 14 D…

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Q: 1 zat 1 + 22

A: